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Finding the Fourth Proportional to 5,302.83, 7,318.98 and 3,064.80

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Solution

The fourth proportional to 5,302.83, 7,318.98 and 3,064.80 is: 4,230.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.83 : 7,318.98 = 3,064.80 : x
  2. Step 2: Convert to fraction form
    5,302.83/7,318.98 = 3,064.80/x
  3. Step 3: Cross multiply
    5,302.83x = 7,318.98 × 3,064.80
  4. Step 4: Simplify right side
    5,302.83x = 22,431,209.90
  5. Step 5: Solve for x
    x = 22,431,209.90/5,302.83
  6. Step 6: Final answer
    x = 4,230.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.